Two-dimensional FIR notch filter design using singular value decomposition

Author

Fei, S.-C. ; Lu, W.-S. ; Tseng, C.-C.

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

45

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

290

Lastpage

294

Abstract

This paper is concerned with the two-dimensional (2-D) linear-phase FIR notch filter-design problem. First, the singular value decomposition (SVD) is used to reduce the 2-D notch filter-design problem to two pairs of one-dimensional (1-D) filter design problems. Then, we derive an analytic least-squares solution for the design of two pairs of 1-D linear-phase FIR filters. Again, the coefficients of the filter designed are given by closed-form formulas and the filter gain at the notch frequencies is exactly zero. One example is included to illustrate the proposed design methods. To demonstrate the usefulness of the 2-D notch filters designed, the 2-D notch filter is applied to eliminate the sinusoidal interference superimposed on an image

Keywords

FIR filters; interference suppression; least squares approximations; network synthesis; notch filters; singular value decomposition; two-dimensional digital filters; design; image; least squares method; singular value decomposition; sinusoidal interference; two-dimensional linear-phase FIR notch filter; Band pass filters; Design methodology; Finite impulse response filter; Frequency; IIR filters; Interference elimination; Nonlinear filters; Singular value decomposition; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.662702

Filename

662702